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Finding the Third Proportional to 7,300,257 and 16,899,624

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Solution

The third proportional to 7,300,257 and 16,899,624 is: 39,121,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300,257 : 16,899,624 = 16,899,624 : x
  2. Step 2: Convert to fraction form
    7,300,257/16,899,624 = 16,899,624/x
  3. Step 3: Cross multiply
    7,300,257x = 16,899,624 × 16,899,624
  4. Step 4: Simplify right side
    7,300,257x = 285,597,291,341,376
  5. Step 5: Solve for x
    x = 285,597,291,341,376/7,300,257
  6. Step 6: Final answer
    x = 39,121,539.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.